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Finding the Third Proportional to 17,301.75 and 26,731.13

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Solution

The third proportional to 17,301.75 and 26,731.13 is: 41,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301.75 : 26,731.13 = 26,731.13 : x
  2. Step 2: Convert to fraction form
    17,301.75/26,731.13 = 26,731.13/x
  3. Step 3: Cross multiply
    17,301.75x = 26,731.13 × 26,731.13
  4. Step 4: Simplify right side
    17,301.75x = 714,553,043.77
  5. Step 5: Solve for x
    x = 714,553,043.77/17,301.75
  6. Step 6: Final answer
    x = 41,299.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.